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jenyasd209 [6]
2 years ago
6

5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Whic

h values could she use? Select all that apply.
Mathematics
2 answers:
alexandr1967 [171]2 years ago
8 0

Answer: cube root 1/18 & cube root 12

Alexus [3.1K]2 years ago
3 0

Answer:

18 + √3

Step-by-step explanation:

The product of a surd and its conjugate gives a rational number. Hence;

(18 - √3) (18 + √3)

=324 + 18√3 - 18√3 - 3

=321

A rational number does not contain any surd, hence the answer.

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A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

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R = \frac{2.1}{sin 67.5}

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(A)

Hope this helped you!

5 0
2 years ago
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Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h
coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = 15x + 18y

We have to minimize this cost.

Then, we can write the following inequalities:

6x + 8y \geq 208\\x \geq 8\\y \geq 8\\

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0
2 years ago
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
Andre45 [30]

Options:

A. Both the Highlands and the Lowlands data points are evenly distributed around the center.

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.

D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.

Answer:

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

Step-by-step Explanation:

From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.

Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.

Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."

7 0
2 years ago
Which equation can be solved to find one of the missing side lengths in the triangle?
IrinaK [193]

Answer:

it should be D....due to the fact that opposite over adjacent for the missing length



8 0
2 years ago
This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perime
Dafna1 [17]

Answer:

2

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5 0
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